Answer:
A. (y+z=6) -8
Step-by-step explanation:
You will use the process of adding together the like terms. Since in equation Q, we have 8y, we need -8y in equation P. Answer A is the only one that will give us -8. You have to distribute -8 across all the variables and numbers in the parenthesis.
Answer:
The final answers are n = 0 or n = -1/4.
Step-by-step explanation:
Given the equation is -5n(4n + 1) = 0.
The Zero-Product property says "if x*y=0, then x=0 or n=0 or both."
we have -5n(4n + 1) = 0.
We know -5 is not equal to 0.
It means n = 0 or 4n+1 = 0.
n = 0 or 4n = -1.
n = 0 or n = -1/4
So, final answers are n = 0 or n = -1/4.
Answer:
see explanation
Step-by-step explanation:
(a)
The shaded figure is a trapezium with area (A)
A = 0.5 h(a + b)
where h is the perpendicular height and a, b the parallel sides, thus
A = 0.5 × 10 × (8 + 14) = 5 × 22 = 110 cm²
(b)
The volume (V) of the prism is calculated as
V = area of end face × depth
= 110 × 3 = 330 cm³
The answer is b because if you flip it across the y axis and translate it up seven then it lays on top of the other
Answer: 275 adult tickets and 500 children's tickets were sold.
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of children's tickets that were sold.
775 tickets were sold for the game. It means that
x + y = 775
If adults tickets sold for 2.50 and children's tickets sold for 1.00 and all the tickets were sold for a total of 1,187.50, it means that
2.5x + y = 1187.5
Substituting x = 775 - y into equation 1, it becomes
2.5(775 - y) + y = 1187.5
1937.5 - 2.5y + y = 1187.5
- 2.5y + y = 1187.5 - 1937.5
- 1.5y = - 750
y = - 750/ - 1.5
y = 500
x = 775 - y = 775 - 500
x = 275
